Whakaoti i te (1/2x+2)*(4x-1/2)

$$( \frac { 1 } { 2 } x + 2 ) \times ( 4 x - \frac { 1 } { 2 } )$$

Aromātai

$$\frac{\left(8x-1\right)\left(x+4\right)}{4}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o \frac{1}{2}x+2 ki ia tau o 4x-\frac{1}{2}.

$$\frac{1}{2}x\times 4x+\frac{1}{2}x\left(-\frac{1}{2}\right)+8x+2\left(-\frac{1}{2}\right)$$

Whakareatia te x ki te x, ka x^{2}.

$$\frac{1}{2}x^{2}\times 4+\frac{1}{2}x\left(-\frac{1}{2}\right)+8x+2\left(-\frac{1}{2}\right)$$

Whakareatia te \frac{1}{2} ki te 4, ka \frac{4}{2}.

$$\frac{4}{2}x^{2}+\frac{1}{2}x\left(-\frac{1}{2}\right)+8x+2\left(-\frac{1}{2}\right)$$

Whakawehea te 4 ki te 2, kia riro ko 2.

$$2x^{2}+\frac{1}{2}x\left(-\frac{1}{2}\right)+8x+2\left(-\frac{1}{2}\right)$$

Me whakarea te \frac{1}{2} ki te -\frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2x^{2}+\frac{1\left(-1\right)}{2\times 2}x+8x+2\left(-\frac{1}{2}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-1\right)}{2\times 2}.

$$2x^{2}+\frac{-1}{4}x+8x+2\left(-\frac{1}{2}\right)$$

Ka taea te hautanga \frac{-1}{4} te tuhi anō ko -\frac{1}{4} mā te tango i te tohu tōraro.

$$2x^{2}-\frac{1}{4}x+8x+2\left(-\frac{1}{2}\right)$$

Pahekotia te -\frac{1}{4}x me 8x, ka \frac{31}{4}x.

$$2x^{2}+\frac{31}{4}x+2\left(-\frac{1}{2}\right)$$

Me whakakore te 2 me te 2.

$$2x^{2}+\frac{31}{4}x-1$$

Whakaroha

$$2x^{2}+\frac{31x}{4}-1$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o \frac{1}{2}x+2 ki ia tau o 4x-\frac{1}{2}.

$$\frac{1}{2}x\times 4x+\frac{1}{2}x\left(-\frac{1}{2}\right)+8x+2\left(-\frac{1}{2}\right)$$

Whakareatia te x ki te x, ka x^{2}.

$$\frac{1}{2}x^{2}\times 4+\frac{1}{2}x\left(-\frac{1}{2}\right)+8x+2\left(-\frac{1}{2}\right)$$

Whakareatia te \frac{1}{2} ki te 4, ka \frac{4}{2}.

$$\frac{4}{2}x^{2}+\frac{1}{2}x\left(-\frac{1}{2}\right)+8x+2\left(-\frac{1}{2}\right)$$

Whakawehea te 4 ki te 2, kia riro ko 2.

$$2x^{2}+\frac{1}{2}x\left(-\frac{1}{2}\right)+8x+2\left(-\frac{1}{2}\right)$$

Me whakarea te \frac{1}{2} ki te -\frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2x^{2}+\frac{1\left(-1\right)}{2\times 2}x+8x+2\left(-\frac{1}{2}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-1\right)}{2\times 2}.

$$2x^{2}+\frac{-1}{4}x+8x+2\left(-\frac{1}{2}\right)$$

Ka taea te hautanga \frac{-1}{4} te tuhi anō ko -\frac{1}{4} mā te tango i te tohu tōraro.

$$2x^{2}-\frac{1}{4}x+8x+2\left(-\frac{1}{2}\right)$$

Pahekotia te -\frac{1}{4}x me 8x, ka \frac{31}{4}x.

$$2x^{2}+\frac{31}{4}x+2\left(-\frac{1}{2}\right)$$

Me whakakore te 2 me te 2.

$$2x^{2}+\frac{31}{4}x-1$$